An optimization problem for the first eigenvalue of the \(p\)-Laplacian plus a potential

DOI10.3934/cpaa.2006.5.675zbMath1175.35092OpenAlexW2034150990MaRDI QIDQ2464561

Julián Fernández Bonder, Leandro M. Del Pezzo

Publication date: 2 January 2008

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2006.5.675

zbMATH Keywords

optimizationeigenvalue problemSchrödinger operator\(p\)-Laplacian

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60)

Related Items (14)

A weighted eigenvalue problem for the \(p\)-Laplacian plus a potential ⋮ On a non-homogeneous eigenvalue problem involving a potential: an Orlicz-Sobolev space setting ⋮ Comparison results for nonlinear equations involving A-harmonic operator ⋮ On the optimization of the first weighted eigenvalue ⋮ Isoperimetric inequalities for an ergodic stochastic control problem ⋮ Concentration phenomena in nonlinear eigenvalue problems with variable exponents and sign-changing potential ⋮ On the principal eigenvalue of degenerate quasilinear elliptic systems ⋮ Principal eigenvalue in an unbounded domain with indefinite potential ⋮ Resonant equations with the Neumann \(p\)-Laplacian plus an indefinite potential ⋮ Superlinear Neumann problems with the \(p\)-Laplacian plus an indefinite potential ⋮ An optimization problem for the first weighted eigenvalue problem plus a potential ⋮ Existence of solutions for (p, q)-Laplacian equations with an indefinite potential ⋮ Recovery of the nearest potential field from the \(m\) observed eigenvalues ⋮ \(A\)-harmonic Picone's identity with applications

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